A Novel Convergence Approach for an Adaptive Equalizers

摘要

Linear equalizers were derived either on the deterministic Zero Forcing (ZF) approach for equalizers of ZF type or on the stochastic Minimum Mean Square Error (MMSE) approach for equalizers of the MMSE type. We present a new formulation of th e equalizer problem based on a Weighted Least Squares (WLS) approach. Here, we show that it is possible and in our opinion even simpler to derive the classical results in a purely deterministic setup, interpreting both equalizer types as Least Squares solutions. This, in turn, allows the introduction of a simple linear reference model for equalizers, which supports the exact derivation of a family of iterative and recursive algorithms with optimize behavior. Due to this reference approach the adaptive equalizer problem can equivalently be treated as an adaptive system identification problem for which very precise Statements are possible with respect to convergence, optimization and l 2 -stability.